Question

In triangle pqr, pq=6 cm,pr=8 cm and qr=12 cm. calculate the area of the triangle pqr

Answer 1

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the area of the triangle pqr is 5√91 cm^2 •••OR••• 47.70cm^2

Answer 2

Answer:

21.33 square units.

Step-by-step explanation:

Given information: In triangle pqr, pq=6 cm,pr=8 cm and qr=12 cm.

If a,b and c are three sides of a triangle, then by heron's formula area of the triangle is

$Area=\sqrt{s(s-a)(s-b)(s-c)}$

where,

$s=\frac{a+b+c}{2}$

The sides of triangle are 6, 8 and 12.

$s=\frac{6+8+12}{2}=13$

Area of triangle is

$Area=\sqrt{13(13-6)(13-8)(13-12)}$

$Area=\sqrt{13(7)(5)(1)}$

$Area=\sqrt{455}$

$Area\approx 21.33$

Therefore, the area of the triangle pqr is 21.33 square units.